TSTP Solution File: MGT028-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT028-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PF7gQdcouc true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:19:57 EDT 2023
% Result : Unsatisfiable 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT028-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PF7gQdcouc true
% 0.15/0.34 % Computer : n024.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Aug 28 06:28:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % Solved by fo/fo6_bce.sh.
% 0.53/0.74 % BCE start: 14
% 0.53/0.74 % BCE eliminated: 1
% 0.53/0.74 % PE start: 13
% 0.53/0.74 logic: neq
% 0.53/0.74 % PE eliminated: 1
% 0.53/0.74 % done 23 iterations in 0.023s
% 0.53/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.74 % SZS output start Refutation
% 0.53/0.74 thf(efficient_producers_type, type, efficient_producers: $i).
% 0.53/0.74 thf(zero_type, type, zero: $i).
% 0.53/0.74 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 0.53/0.74 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 0.53/0.74 thf(sk3_type, type, sk3: $i > $i).
% 0.53/0.74 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 0.53/0.74 thf(environment_type, type, environment: $i > $o).
% 0.53/0.74 thf(first_movers_type, type, first_movers: $i).
% 0.53/0.74 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 0.53/0.74 thf(stable_type, type, stable: $i > $o).
% 0.53/0.74 thf(sk4_type, type, sk4: $i).
% 0.53/0.74 thf(sk5_type, type, sk5: $i > $i).
% 0.53/0.74 thf(appear_type, type, appear: $i > $i > $i).
% 0.53/0.74 thf(sk2_type, type, sk2: $i > $i).
% 0.53/0.74 thf(sk1_type, type, sk1: $i > $i > $i).
% 0.53/0.74 thf(greater_type, type, greater: $i > $i > $o).
% 0.53/0.74 thf(l11_7, axiom,
% 0.53/0.74 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.53/0.74 ( in_environment @ A @ ( sk3 @ A ) ))).
% 0.53/0.74 thf(zip_derived_cl6, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | (in_environment @ X0 @ (sk3 @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [l11_7])).
% 0.53/0.74 thf(mp_first_movers_negative_growth_2, axiom,
% 0.53/0.74 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.53/0.74 ( ~( in_environment @ A @ B ) ) |
% 0.53/0.74 ( greater_or_equal @ ( sk1 @ B @ A ) @ B ) |
% 0.53/0.74 ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ))).
% 0.53/0.74 thf(zip_derived_cl1, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (in_environment @ X0 @ X1)
% 0.53/0.74 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [mp_first_movers_negative_growth_2])).
% 0.53/0.74 thf(zip_derived_cl15, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | (greater_or_equal @ (sk1 @ (sk3 @ X0) @ X0) @ (sk3 @ X0))
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0))),
% 0.53/0.74 inference('dp-resolution', [status(thm)],
% 0.53/0.74 [zip_derived_cl6, zip_derived_cl1])).
% 0.53/0.74 thf(zip_derived_cl27, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (greater_or_equal @ (sk1 @ (sk3 @ X0) @ X0) @ (sk3 @ X0))
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('simplify', [status(thm)], [zip_derived_cl15])).
% 0.53/0.74 thf(l11_9, axiom,
% 0.53/0.74 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.53/0.74 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.53/0.74 ( ~( greater_or_equal @ B @ ( sk3 @ A ) ) ) |
% 0.53/0.74 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 0.53/0.74 thf(zip_derived_cl8, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.53/0.74 | ~ (greater_or_equal @ X1 @ (sk3 @ X0))
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 0.53/0.74 inference('cnf', [status(esa)], [l11_9])).
% 0.53/0.74 thf(zip_derived_cl28, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0))
% 0.53/0.74 | (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X0) @ X0))))),
% 0.53/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl8])).
% 0.53/0.74 thf(zip_derived_cl29, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X0) @ X0)))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0))
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('simplify', [status(thm)], [zip_derived_cl28])).
% 0.53/0.74 thf(zip_derived_cl6, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | (in_environment @ X0 @ (sk3 @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [l11_7])).
% 0.53/0.74 thf(mp_first_movers_negative_growth_5, axiom,
% 0.53/0.74 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.53/0.74 ( ~( in_environment @ A @ B ) ) |
% 0.53/0.74 ( ~( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) ) ) |
% 0.53/0.74 ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ))).
% 0.53/0.74 thf(zip_derived_cl4, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (in_environment @ X0 @ X1)
% 0.53/0.74 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [mp_first_movers_negative_growth_5])).
% 0.53/0.74 thf(zip_derived_cl18, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X0) @ X0)))
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0))),
% 0.53/0.74 inference('dp-resolution', [status(thm)],
% 0.53/0.74 [zip_derived_cl6, zip_derived_cl4])).
% 0.53/0.74 thf(zip_derived_cl22, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X0) @ X0)))
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('simplify', [status(thm)], [zip_derived_cl18])).
% 0.53/0.74 thf(zip_derived_cl33, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0)))),
% 0.53/0.74 inference('clc', [status(thm)], [zip_derived_cl29, zip_derived_cl22])).
% 0.53/0.74 thf(zip_derived_cl6, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | (in_environment @ X0 @ (sk3 @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [l11_7])).
% 0.53/0.74 thf(mp_first_movers_negative_growth_1, axiom,
% 0.53/0.74 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.53/0.74 ( ~( in_environment @ A @ B ) ) |
% 0.53/0.74 ( subpopulations @
% 0.53/0.74 first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) ) |
% 0.53/0.74 ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ))).
% 0.53/0.74 thf(zip_derived_cl0, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (in_environment @ X0 @ X1)
% 0.53/0.74 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ X1 @ X0))
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [mp_first_movers_negative_growth_1])).
% 0.53/0.74 thf(zip_derived_cl14, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0))
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0))),
% 0.53/0.74 inference('dp-resolution', [status(thm)],
% 0.53/0.74 [zip_derived_cl6, zip_derived_cl0])).
% 0.53/0.74 thf(zip_derived_cl23, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0))
% 0.53/0.74 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('simplify', [status(thm)], [zip_derived_cl14])).
% 0.53/0.74 thf(zip_derived_cl34, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('clc', [status(thm)], [zip_derived_cl33, zip_derived_cl23])).
% 0.53/0.74 thf(prove_l10_12, conjecture,
% 0.53/0.74 (~( ( subpopulations @
% 0.53/0.74 first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) |
% 0.53/0.74 ( ~( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ))).
% 0.53/0.74 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.74 (( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) |
% 0.53/0.74 ( ~( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) )),
% 0.53/0.74 inference('cnf.neg', [status(esa)], [prove_l10_12])).
% 0.53/0.74 thf(zip_derived_cl11, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.53/0.74 (sk5 @ X0))
% 0.53/0.74 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.74 thf(zip_derived_cl34, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('clc', [status(thm)], [zip_derived_cl33, zip_derived_cl23])).
% 0.53/0.74 thf(prove_l10_13, conjecture,
% 0.53/0.74 (~( ( greater_or_equal @ ( sk5 @ A ) @ A ) |
% 0.53/0.74 ( ~( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ))).
% 0.53/0.74 thf(zf_stmt_1, negated_conjecture,
% 0.53/0.74 (( greater_or_equal @ ( sk5 @ A ) @ A ) |
% 0.53/0.74 ( ~( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) )),
% 0.53/0.74 inference('cnf.neg', [status(esa)], [prove_l10_13])).
% 0.53/0.74 thf(zip_derived_cl12, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (greater_or_equal @ (sk5 @ X0) @ X0)
% 0.53/0.74 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.74 thf(zip_derived_cl6, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | (in_environment @ X0 @ (sk3 @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [l11_7])).
% 0.53/0.74 thf(mp_first_movers_negative_growth_4, axiom,
% 0.53/0.74 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.53/0.74 ( ~( in_environment @ A @ B ) ) |
% 0.53/0.74 ( greater_or_equal @ ( sk1 @ B @ A ) @ B ) |
% 0.53/0.74 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ C ) ) |
% 0.53/0.74 ( ~( greater_or_equal @ C @ ( sk2 @ A ) ) ) |
% 0.53/0.74 ( greater @ zero @ ( growth_rate @ first_movers @ C ) ))).
% 0.53/0.74 thf(zip_derived_cl3, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (in_environment @ X0 @ X1)
% 0.53/0.74 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.53/0.74 | ~ (greater_or_equal @ X2 @ (sk2 @ X0))
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X2)))),
% 0.53/0.74 inference('cnf', [status(esa)], [mp_first_movers_negative_growth_4])).
% 0.53/0.74 thf(zip_derived_cl17, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (stable @ X1)
% 0.53/0.74 | ~ (environment @ X1)
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.53/0.74 | ~ (greater_or_equal @ X0 @ (sk2 @ X1))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X1 @ X0)
% 0.53/0.74 | (greater_or_equal @ (sk1 @ (sk3 @ X1) @ X1) @ (sk3 @ X1))
% 0.53/0.74 | ~ (stable @ X1)
% 0.53/0.74 | ~ (environment @ X1))),
% 0.53/0.74 inference('dp-resolution', [status(thm)],
% 0.53/0.74 [zip_derived_cl6, zip_derived_cl3])).
% 0.53/0.74 thf(zip_derived_cl40, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 ( (greater_or_equal @ (sk1 @ (sk3 @ X1) @ X1) @ (sk3 @ X1))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X1 @ X0)
% 0.53/0.74 | ~ (greater_or_equal @ X0 @ (sk2 @ X1))
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.53/0.74 | ~ (environment @ X1)
% 0.53/0.74 | ~ (stable @ X1))),
% 0.53/0.74 inference('simplify', [status(thm)], [zip_derived_cl17])).
% 0.53/0.74 thf(zip_derived_cl41, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4))
% 0.53/0.74 | (greater_or_equal @ (sk1 @ (sk3 @ X0) @ X0) @ (sk3 @ X0))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk5 @ (sk2 @ X0))))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl40])).
% 0.53/0.74 thf(prove_l10_14, conjecture,
% 0.53/0.74 (~( ( ~( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ) |
% 0.53/0.74 ( ~( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ))).
% 0.53/0.74 thf(zf_stmt_2, negated_conjecture,
% 0.53/0.74 (( ~( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ) |
% 0.53/0.74 ( ~( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) )),
% 0.53/0.74 inference('cnf.neg', [status(esa)], [prove_l10_14])).
% 0.53/0.74 thf(zip_derived_cl13, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk5 @ X0)))
% 0.53/0.74 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.74 thf(zip_derived_cl44, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | (greater_or_equal @ (sk1 @ (sk3 @ X0) @ X0) @ (sk3 @ X0))
% 0.53/0.74 | ~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('clc', [status(thm)], [zip_derived_cl41, zip_derived_cl13])).
% 0.53/0.74 thf(zip_derived_cl8, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.53/0.74 | ~ (greater_or_equal @ X1 @ (sk3 @ X0))
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 0.53/0.74 inference('cnf', [status(esa)], [l11_9])).
% 0.53/0.74 thf(zip_derived_cl45, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0))
% 0.53/0.74 | (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X0) @ X0))))),
% 0.53/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl8])).
% 0.53/0.74 thf(zip_derived_cl46, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X0) @ X0)))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0))
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | ~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('simplify', [status(thm)], [zip_derived_cl45])).
% 0.53/0.74 thf(zip_derived_cl12, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (greater_or_equal @ (sk5 @ X0) @ X0)
% 0.53/0.74 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.74 thf(zip_derived_cl6, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | (in_environment @ X0 @ (sk3 @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [l11_7])).
% 0.53/0.74 thf(mp_first_movers_negative_growth_6, axiom,
% 0.53/0.74 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.53/0.74 ( ~( in_environment @ A @ B ) ) |
% 0.53/0.74 ( ~( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) ) ) |
% 0.53/0.74 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ C ) ) |
% 0.53/0.74 ( ~( greater_or_equal @ C @ ( sk2 @ A ) ) ) |
% 0.53/0.74 ( greater @ zero @ ( growth_rate @ first_movers @ C ) ))).
% 0.53/0.74 thf(zip_derived_cl5, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (in_environment @ X0 @ X1)
% 0.53/0.74 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.53/0.74 | ~ (greater_or_equal @ X2 @ (sk2 @ X0))
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X2)))),
% 0.53/0.74 inference('cnf', [status(esa)], [mp_first_movers_negative_growth_6])).
% 0.53/0.74 thf(zip_derived_cl19, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (stable @ X1)
% 0.53/0.74 | ~ (environment @ X1)
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.53/0.74 | ~ (greater_or_equal @ X0 @ (sk2 @ X1))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X1 @ X0)
% 0.53/0.74 | ~ (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X1) @ X1)))
% 0.53/0.74 | ~ (stable @ X1)
% 0.53/0.74 | ~ (environment @ X1))),
% 0.53/0.74 inference('dp-resolution', [status(thm)],
% 0.53/0.74 [zip_derived_cl6, zip_derived_cl5])).
% 0.53/0.74 thf(zip_derived_cl24, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X1) @ X1)))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X1 @ X0)
% 0.53/0.74 | ~ (greater_or_equal @ X0 @ (sk2 @ X1))
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.53/0.74 | ~ (environment @ X1)
% 0.53/0.74 | ~ (stable @ X1))),
% 0.53/0.74 inference('simplify', [status(thm)], [zip_derived_cl19])).
% 0.53/0.74 thf(zip_derived_cl25, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4))
% 0.53/0.74 | ~ (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X0) @ X0)))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk5 @ (sk2 @ X0))))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl24])).
% 0.53/0.74 thf(zip_derived_cl13, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk5 @ X0)))
% 0.53/0.74 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.74 thf(zip_derived_cl26, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | ~ (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk1 @ (sk3 @ X0) @ X0)))
% 0.53/0.74 | ~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('clc', [status(thm)], [zip_derived_cl25, zip_derived_cl13])).
% 0.53/0.74 thf(zip_derived_cl47, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0)))),
% 0.53/0.74 inference('clc', [status(thm)], [zip_derived_cl46, zip_derived_cl26])).
% 0.53/0.74 thf(zip_derived_cl12, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 ( (greater_or_equal @ (sk5 @ X0) @ X0)
% 0.53/0.74 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.74 thf(zip_derived_cl6, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | (in_environment @ X0 @ (sk3 @ X0)))),
% 0.53/0.74 inference('cnf', [status(esa)], [l11_7])).
% 0.53/0.74 thf(mp_first_movers_negative_growth_3, axiom,
% 0.53/0.74 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.53/0.74 ( ~( in_environment @ A @ B ) ) |
% 0.53/0.74 ( subpopulations @
% 0.53/0.74 first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) ) |
% 0.53/0.74 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ C ) ) |
% 0.53/0.74 ( ~( greater_or_equal @ C @ ( sk2 @ A ) ) ) |
% 0.53/0.74 ( greater @ zero @ ( growth_rate @ first_movers @ C ) ))).
% 0.53/0.74 thf(zip_derived_cl2, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.74 (~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0)
% 0.53/0.74 | ~ (in_environment @ X0 @ X1)
% 0.53/0.74 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ X1 @ X0))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.53/0.74 | ~ (greater_or_equal @ X2 @ (sk2 @ X0))
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X2)))),
% 0.53/0.74 inference('cnf', [status(esa)], [mp_first_movers_negative_growth_3])).
% 0.53/0.74 thf(zip_derived_cl16, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 (~ (stable @ X1)
% 0.53/0.74 | ~ (environment @ X1)
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.53/0.74 | ~ (greater_or_equal @ X0 @ (sk2 @ X1))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X1 @ X0)
% 0.53/0.74 | (subpopulations @ first_movers @ efficient_producers @ X1 @
% 0.53/0.74 (sk1 @ (sk3 @ X1) @ X1))
% 0.53/0.74 | ~ (stable @ X1)
% 0.53/0.74 | ~ (environment @ X1))),
% 0.53/0.74 inference('dp-resolution', [status(thm)],
% 0.53/0.74 [zip_derived_cl6, zip_derived_cl2])).
% 0.53/0.74 thf(zip_derived_cl30, plain,
% 0.53/0.74 (![X0 : $i, X1 : $i]:
% 0.53/0.74 ( (subpopulations @ first_movers @ efficient_producers @ X1 @
% 0.53/0.74 (sk1 @ (sk3 @ X1) @ X1))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X1 @ X0)
% 0.53/0.74 | ~ (greater_or_equal @ X0 @ (sk2 @ X1))
% 0.53/0.74 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.53/0.74 | ~ (environment @ X1)
% 0.53/0.74 | ~ (stable @ X1))),
% 0.53/0.74 inference('simplify', [status(thm)], [zip_derived_cl16])).
% 0.53/0.74 thf(zip_derived_cl31, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4))
% 0.53/0.74 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0))
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | (greater @ zero @
% 0.53/0.74 (growth_rate @ first_movers @ (sk5 @ (sk2 @ X0))))
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (stable @ X0))),
% 0.53/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl30])).
% 0.53/0.74 thf(zip_derived_cl13, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk5 @ X0)))
% 0.53/0.74 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.74 thf(zip_derived_cl32, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk1 @ (sk3 @ X0) @ X0))
% 0.53/0.74 | ~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('clc', [status(thm)], [zip_derived_cl31, zip_derived_cl13])).
% 0.53/0.74 thf(zip_derived_cl48, plain,
% 0.53/0.74 (![X0 : $i]:
% 0.53/0.74 (~ (stable @ X0)
% 0.53/0.74 | ~ (environment @ X0)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.53/0.74 (sk5 @ (sk2 @ X0)))
% 0.53/0.74 | ~ (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ sk4)))),
% 0.53/0.74 inference('clc', [status(thm)], [zip_derived_cl47, zip_derived_cl32])).
% 0.53/0.74 thf(zip_derived_cl49, plain,
% 0.53/0.74 ((~ (stable @ sk4)
% 0.53/0.74 | ~ (environment @ sk4)
% 0.53/0.74 | ~ (stable @ sk4)
% 0.53/0.74 | ~ (environment @ sk4)
% 0.53/0.74 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.53/0.74 (sk5 @ (sk2 @ sk4))))),
% 0.53/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl48])).
% 0.53/0.74 thf(prove_l10_11, conjecture, (~( stable @ sk4 ))).
% 0.53/0.74 thf(zf_stmt_3, negated_conjecture, (stable @ sk4),
% 0.53/0.74 inference('cnf.neg', [status(esa)], [prove_l10_11])).
% 0.53/0.74 thf(zip_derived_cl10, plain, ( (stable @ sk4)),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.74 thf(prove_l10_10, conjecture, (~( environment @ sk4 ))).
% 0.53/0.74 thf(zf_stmt_4, negated_conjecture, (environment @ sk4),
% 0.53/0.74 inference('cnf.neg', [status(esa)], [prove_l10_10])).
% 0.53/0.74 thf(zip_derived_cl9, plain, ( (environment @ sk4)),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.53/0.74 thf(zip_derived_cl10, plain, ( (stable @ sk4)),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.74 thf(zip_derived_cl9, plain, ( (environment @ sk4)),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.53/0.74 thf(zip_derived_cl50, plain,
% 0.53/0.74 (~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.53/0.74 (sk5 @ (sk2 @ sk4)))),
% 0.53/0.74 inference('demod', [status(thm)],
% 0.53/0.74 [zip_derived_cl49, zip_derived_cl10, zip_derived_cl9,
% 0.53/0.74 zip_derived_cl10, zip_derived_cl9])).
% 0.53/0.74 thf(zip_derived_cl51, plain,
% 0.53/0.74 (~ (greater @ (sk2 @ sk4) @ (appear @ efficient_producers @ sk4))),
% 0.53/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl50])).
% 0.53/0.74 thf(zip_derived_cl52, plain, ((~ (stable @ sk4) | ~ (environment @ sk4))),
% 0.53/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl51])).
% 0.53/0.74 thf(zip_derived_cl10, plain, ( (stable @ sk4)),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.74 thf(zip_derived_cl9, plain, ( (environment @ sk4)),
% 0.53/0.74 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.53/0.74 thf(zip_derived_cl53, plain, ($false),
% 0.53/0.74 inference('demod', [status(thm)],
% 0.53/0.74 [zip_derived_cl52, zip_derived_cl10, zip_derived_cl9])).
% 0.53/0.74
% 0.53/0.74 % SZS output end Refutation
% 0.53/0.74
% 0.53/0.74
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % Terminating...
% 0.57/0.84 % Runner terminated.
% 0.57/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------